Matrix-model dualities in the collective field formulation

Details Matrix-model dualities in the collective field formulation Matrix-model dualities in the collective field formulation

2004-11-02

arxiv.org/abs/hep-th/0411034v1

JHEP0501:039,2005

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/1126-6708/2005/01/039

We establish a strong-weak coupling duality between two types of free matrix models. In the large-N limit, the real-symmetric matrix model is dual to the quaternionic-real matrix model. Using the large-N conformal invariant collective field formulation, the duality is displayed in terms of the generators of the conformal group. The conformally invariant master Hamiltonian is constructed and we conjecture that the master Hamiltonian corresponds to the hermitian matrix model.

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